Acoustic Source Localization and Beamforming: Theory and Practice
Acoustic Source Localization and Beamforming: Theory and Practice
Acoustic Source Localization and Beamforming: Theory and Practice
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L(<br />
ML DOA Estimation<br />
Frequency domain in matrix form:<br />
)<br />
X<br />
G(<br />
- Is zero-mean zero mean complex white Gaussian<br />
log Likelihood(<br />
)<br />
ˆ L<br />
log( f ( X<br />
ML estimator: max ( )<br />
max ( L<br />
)<br />
min<br />
Which is equivalent to min f ( k)<br />
s , S<br />
c<br />
N<br />
k<br />
/ 2<br />
1<br />
))<br />
( ) k X<br />
f c<br />
( k)<br />
X ( k)<br />
D(<br />
k)<br />
S ( k)<br />
X<br />
G(<br />
)<br />
( ) c( ) k S k D<br />
for all k bins<br />
2<br />
)<br />
2<br />
const
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